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We explore the extension of quantum cosmology outside the homogeneous approximation, using the formalism of loop quantum gravity. We introduce a model where some of the inhomogeneous degrees of freedom are present, providing a tool for…

广义相对论与量子宇宙学 · 物理学 2008-12-18 Carlo Rovelli , Francesca Vidotto

We study the role of non-perturbative quantum gravity effects in the Ekpyrotic/Cyclic model using the effective framework of loop quantum cosmology in the presence of anisotropies. We show that quantum geometric modifications to the…

广义相对论与量子宇宙学 · 物理学 2010-04-30 Thomas Cailleteau , Parampreet Singh , Kevin Vandersloot

Inspired from the idea of minimally coupling of a real scalar field to geometry, we investigate the classical and quantum models of a flat energy-dependent FRW cosmology coupled to a perfect fluid in the framework of the scalar-rainbow…

广义相对论与量子宇宙学 · 物理学 2016-04-26 M. Khodadi , K. Nozari , B. Vakili

Modification to the behavior of geometrical density at short scales is a key result of loop quantum cosmology, responsible for an interesting phenomenology in the very early universe. We demonstrate the way matter with arbitrary scale…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Parampreet Singh

Quantum--mechanical operators corresponding to canonical momentum and position of a point--like particle, which follow from the quantum field theory in the general Riemannian space-time, satisfy generally to a deformation of the canonical…

广义相对论与量子宇宙学 · 物理学 2007-05-23 E. A. Tagirov

In this work, we present an overview of uniqueness results derived in recent years for the quantization of Gowdy cosmological models and for (test) Klein-Gordon fields minimally coupled to Friedmann-Lema\^{\i}tre-Robertson-Walker, de…

广义相对论与量子宇宙学 · 物理学 2019-12-10 Jerónimo Cortez , Guillermo A. Mena Marugán , José Velhinho

Effective field theory provides a perturbative framework to study the evolution of cosmological large-scale structure. We investigate the underpinnings of this approach, and suggest new ways to compute correlation functions of cosmological…

高能物理 - 理论 · 物理学 2014-07-16 Sean M. Carroll , Stefan Leichenauer , Jason Pollack

Inhomogeneous quantum cosmology is modeled as a dynamical system of discrete patches, whose interacting many-body equations can be mapped to a non-linear minisuperspace equation by methods analogous to Bose-Einstein condensation.…

广义相对论与量子宇宙学 · 物理学 2012-12-18 Martin Bojowald , Alexander L. Chinchilli , Christine C. Dantas , Matthew Jaffe , David Simpson

Considering the Friedmann--Lema\^{i}tre--Robertson--Walker (FLRW) metric and the Einstein scalar field system as an underlying gravitational model to construct fractional cosmological models has interesting implications in both classical…

广义相对论与量子宇宙学 · 物理学 2024-07-26 S. M. M. Rasouli , S. Cheraghchi , P. V. Moniz

The Hamiltonian constraint of scalar-tensor theories in the Jordan frame is quantised using three quantisation prescriptions in loop quantum cosmology, from which we obtain three different effective Hamiltonian constraints. The…

广义相对论与量子宇宙学 · 物理学 2022-12-08 Yu Han

We comment on two issues in quantum cosmology, in the context of the Wheeler-De Witt equation and wave function of the Universe: (i) arrow of time and interpretation of the wave function in the classically allowed regions; (ii) stability of…

广义相对论与量子宇宙学 · 物理学 2007-05-23 V. A. Rubakov

Quantum cosmology is the quantum theory of the entire universe. Although strange at first sight, it is appropriate because (1) our world appears to be fundamentally quantum, (2) the classical description of gravity breaks down at…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Don N. Page

In the context of group field theory condensate cosmology, we clarify the extraction of cosmological variables from the microscopic quantum gravity degrees of freedom. We show that an important implication of the second quantized formalism…

广义相对论与量子宇宙学 · 物理学 2014-12-03 Steffen Gielen , Daniele Oriti

In the last 20 years, loop quantum gravity, a background independent approach to unify general relativity and quantum mechanics, has been widely investigated. The aim of loop quantum gravity is to construct a mathematically rigorous,…

广义相对论与量子宇宙学 · 物理学 2007-06-25 Muxin Han

First, we review the $C^\ast$-algebraic foundations of loop quantization, in particular, the construction of quantum configuration spaces and the implementation of symmetries. Then, we apply these results to loop quantum gravity, focusing…

数学物理 · 物理学 2015-07-21 Christian Fleischhack

The quantum evolution equation of Loop Quantum Cosmology (LQC) -- the quantum Hamiltonian constraint -- is a difference equation. We relate the LQC constraint equation in vacuum Bianchi I separable (locally rotationally symmetric) models…

广义相对论与量子宇宙学 · 物理学 2013-01-25 Christine C. Dantas

A crucial problem in quantum cosmology is a careful analysis of the one-loop semiclassical approximation for the wave function of the universe, after an appropriate choice of mixed boundary conditions. The results for Euclidean quantum…

高能物理 - 理论 · 物理学 2007-05-23 Giampiero Esposito , Alexander Yu. Kamenshchik

We construct and study Loop Quantum Cosmology (LQC) when the Barbero-Immirzi parameter takes the complex value $\gamma=\pm i$. We refer to this new quantum cosmology as complex Loop Quantum Cosmology. We proceed in making an analytic…

广义相对论与量子宇宙学 · 物理学 2015-06-22 Jibril Ben Achour , Julien Grain , Karim Noui

In the path integral formulation of the reduced phase space Loop Quantum Gravity (LQG), we propose a new approach to allow the spatial cubic lattice (graph) to change dynamically in the physical time evolution. The equations of motion of…

广义相对论与量子宇宙学 · 物理学 2021-07-14 Muxin Han , Hongguang Liu

Coherent state functional integral for the minisuperspace model of loop quantum cosmology is studied. By the well-established canonical theory, the transition amplitude in the path integral representation of loop quantum cosmology with…

广义相对论与量子宇宙学 · 物理学 2012-06-07 Li Qin , Yongge Ma